What is the formula for determining wavelength in different mediums?

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To determine the wavelength of waves in different mediums, the frequency remains constant when transitioning between mediums. Given the first medium's speed of 150 m/s and frequency of 75 Hz, the wavelength can be calculated using the formula: wavelength = speed/frequency. In the second medium, with a speed of 96 m/s, the frequency remains 75 Hz, allowing for the calculation of the new wavelength. The angle of refraction can be determined using Snell's Law, which states that the ratio of the sines of the angles is equal to the ratio of the speeds in the two mediums. Understanding these principles will enable accurate wavelength calculations in varying mediums.
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Please help!

In my physics, I need to find the wavelengths of the waves from a source in a different medium.

In the first medium, my angle of incidence is 35 degrees and with a speed of 150m/s and a frequency of 75Hz. In the different medium the speed has dropped to 96m/s. I know the angle of refraction will be smaller. But how do I figure that out as well as the frequency in order to determine the wavelength?
 
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i guess what i really want to know is if frequency changes as it crosses a medium,
 
Nope, frequency is the one constant.
 
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